GATE 2016 CS (CS2) – Question 16
A has eigenvalues 1, 2 and 4. Find $\det((A^{-1})^T)$.
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Show answer and explanation
Correct answer: 0.124 to 0.126
Explanation
The determinant is the eigenvalue product 1×2×4=8. Inversion reciprocates determinants and transposition preserves them. Thus $\det((A^{-1})^T)=1/8=0.125$, within the official 0.124–0.126 interval.